1999/02/28 by Lajos Diosi, Lajos Diósi, Nicolas Gisin +1 · 1 citation
Computer Science · Physics and Astronomy · #Classical mechanics #Open quantum system #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dissipation #Quantum dynamics #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Quantum optics and atomic interactions #Quantum process #Statistical physics #Superluminal motion #Theoretical physics #gr-qc #quant-ph
paper · pdf · doi:10.1103/physreva.61.022108
published as Phys.Rev. A61 (2000) 22108 · 4 pages, RevTeX
arxiv created 1999/09/02 · openalex publication_date 2000/01/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a consistent framework of coupled classical and quantum dynamics. Our result allows us to overcome severe limitations of previous phenomenological approaches, such as evolutions that do not preserve the positivity of quantum states or that allow one to activate quantum nonlocality for superluminal signaling. A ``hybrid'' quantum-classical density is introduced, and its evolution equation derived. The implications and applications of our result are numerous: it incorporates the back-reaction of quantum on classical variables, and it resolves fundamental problems encountered in standard mean-field theories, and remarkably, also in the quantum measurement process; i.e., the most controversial example of quantum-classical interaction is consistently described within our approach, leading to a theory of dynamical collapse.